1. Factoring Quadratic Expressions ax2 + bx + c
Feb. 27, 2014

2. SWBAT Factoring Quadratic Expressions in Standard Form
WARM – UP
1. Factor by Grouping:
2. Factor Using the GCF:
SWBAT Factoring Quadratic Expressions in Standard Form

3. SWBAT Factoring Quadratic Expressions in Standard Form
Mini-Lesson
Do you recognize the pattern???
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SWBAT Factoring Quadratic Expressions in Standard Form

4. SWBAT Factoring Quadratic Expressions in Standard Form
You Try!!! Complete the “Diamond”
SWBAT Factoring Quadratic Expressions in Standard Form

5. SWBAT Factoring Quadratic Expressions in Standard Form
Multiply
(x + 2)(x + 5) = _____________________________ = ___________________
Notice the constant term in the trinomial; it is the product of the constants in the binomials.
You can use this fact to factor a trinomial into its binomial factors.
(Find two factors of c that add up to b)
ax2 + bx + c
SWBAT Factoring Quadratic Expressions in Standard Form

6. SWBAT Factoring Quadratic Expressions in Standard Form
Example 1: First Sign is Positive and Last Sign is Positive
Factor: x2 + 6x Factor: x2 + 5x
Answer: ( ) ( ) Answer: ( ) ( )
SWBAT Factoring Quadratic Expressions in Standard Form

7. SWBAT Factoring Quadratic Expressions in Standard Form
Practice 1: Factor.
x2 + 5x x2 + 8x + 12
Answer: ( ) ( ) Answer: ( ) ( )
3. x2 + 6x x2 + 6x + 9
Answer: ( ) ( ) Answer: ( ) ( )
SWBAT Factoring Quadratic Expressions in Standard Form

8. SWBAT Factoring Quadratic Expressions in Standard Form
Example 2: First Sign is Negative and Last Sign is Positive
Factor: x2 - 10x Factor: x2 - 7x
Answer: ( ) ( )
Answer: ( ) ( )
SWBAT Factoring Quadratic Expressions in Standard Form

9. SWBAT Factoring Quadratic Expressions in Standard Form
Practice 2: Factor.
7. x2 - 8x x2 - 6x x2 - 7x + 10
Answer: ( ) ( ) Answer:( ) ( ) Answer:( ) ( )
10. x2 - 5x x2 - 13x x x
SWBAT Factoring Quadratic Expressions in Standard Form

10. SWBAT Factoring Quadratic Expressions in Standard Form
Example 3: First Sign is Positive or Negative and Last Sign
is Negative
Factor: x2 + x - 20
Answer: ( ) ( )
SWBAT Factoring Quadratic Expressions in Standard Form

11. SWBAT Factoring Quadratic Expressions in Standard Form
Practice 3: Factor
13. x2 + 2x – x2 + 3x – x2 + 6x - 40
Answer: ( ) ( ) Answer:( ) ( ) Answer:( ) ( )
SWBAT Factoring Quadratic Expressions in Standard Form

12. SWBAT Factoring Quadratic Expressions in Standard Form
16. x2 - 2x – x2 - 2x – x2 - 2x - 48
SWBAT Factoring Quadratic Expressions in Standard Form

13. SWBAT Factoring Quadratic Expressions in Standard Form
Challenge Problem:
1) If x + 2 is a factor of x2 + bx + 10, what is the value of b?
2)Factor: x4 + 18x2 + 81
SWBAT Factoring Quadratic Expressions in Standard Form

14. SWBAT Factoring Quadratic Expressions in Standard Form
Summary
Example: Factor: x2 – 5x - 50
SWBAT Factoring Quadratic Expressions in Standard Form

15. SWBAT Factoring Quadratic Expressions in Standard Form
EXIT TICKET
Factor x2 + 4x - 21
HW p. 24/ # 1-20
SWBAT Factoring Quadratic Expressions in Standard Form